In this 2-player game, we start with 27 sticks. The players take turns picking up sticks. On each turn, a player must pick up 1, 2, or 3 sticks. The player who picks up the last stick loses.
The following verse spells out a word, letter by letter. "My first" refers to the word's first letter, and so on. What's the word that this verse describes? solution
My first is in fish but not in snail
My second in rabbit but not in tail
My third in up but not down
My fourth in tiara not in crown
My fifth in tree you plainly see
My whole a food for you and me
BOY or GIRL:
A boy and a girl are sitting on the porch. "I'm a boy," says the child with black hair. "I'm a girl," says the child with red hair.
If at least one of them is lying, who is which
FOOTBALL POSITIONS:
Bill, Ken, and Mark are, not necessarily in this order, a quarterback, a receiver, and a kicker. The kicker, who is the shortest of the three, is a bachelor. Bill, who is Ken's father-in-law, is taller than the receiver.
Who plays in which position?
Problem5
Four friends were competing in the internationally renowned BrainBashers Bog Snorkelling competition. As usual, the judges were a little careless and once again, they managed to lose the results. Luckily, a number of spectators were able to remember the following snippets of information:
Only one person wore the same number as the position they finished. Gary, who didn't wear green, beat Barry. Larry beat the person who wore yellow. The person who wore number 3, wore green. The person who wore number 2 finished first whereas Harry came last. The person who finished second wore green, Barry wore yellow and the person wearing red beat the person wearing blue.
Can you work out who finished where, the number and colour they wore?
Five patients, all potential blood donors, are waiting in the doctor's surgery and are sitting on the bench from left to right. Can you determine the position of each patient along with their blood group, age, height and weight? Their ages are 5, 9, 30, 46 and 60. Their heights are 40, 48, 60, 65 and 74. Their weights are 40, 75, 96, 125 and 165.
The person on the far right is 37 years older than Jason, and is 60 inches tall.
Jason weighs 56 pounds more than his height.
Alan weighs 75 pounds and is 74 inches tall.
John is type AB and weighs 56 pounds less than Jason.
The person in the centre is 9 years old, is blood type AO and weighs 96 pounds.
Adam, who is the first, is 65 inches tall, and weighs 100 pounds more than his height.
The person who is blood type O, is 25 years older than the person to the left of them.
Kevin is 60 years old.
The person who is blood type A, is 55 years younger than Kevin and is not next to the person who is type AO.
The person who is next to the 9 year old but not next to the person who is 65 inches tall, is blood type B, and weighs 125 pounds.
Week #2
Problem 1. Three goddesses were sitting in an old Indian temple. Their names were Truth (always telling the truth), Lie (always lying) and Wisdom (sometimes lying). A visitor asked the one on the left: "Who is sitting next to you?" "Truth," she answered. Then he asked the one in the middle: "Who are you?" "Wisdom." Lastly, he asked the one on the right: "Who is your neighbor?" "Lie," she replied. And then it became clear who is who.
Problem 2.
You are a prisoner in a room with 2 doors and 2 guards. One of the doors will guide you to freedom and behind the other is a hangman --you don't know which is which. One of the guards always tells the truth and the other always lies. You don't know which one is the truth-teller or the liar either. You have to choose and open one of these doors, but you can only ask a single question to one of the guards. What do you ask so you can pick the door to freedom?
Problem 3.
There are 4 people called A, B, C and D. Three of them alwaystell the truth. One of them always lies.
On an island each person always tells the truth or each person always tells a lie. Three people say A, B and C have a conversation. A says that B is lying , B says that C is lying and C says that both A and B are lying. Then find out - who is lying and who is telling the truth.
Semana #1: Trucos de pensar un número
#1) Piensa un número cualquiera. Súmale 3 . Multiplica el resultado por 2
Réstale 8. Divide por 2. Me preguntó: ¿Cuánto te da?
#2) Piensa un número. Multiplícalo por 5. Sumále 1. Multiplica el resultado por 2. Réstale 12. Divide tu resultado por 10. Réstale tu número inicial.
#3) Piensa un número. Multiplícalo por 10. A lo que quedó, súmale 7. Lo que quedó multiplícalo por 10. A lo que quedó, súmale 5. Lo que quedó multiplícalo por 2
#4) El ratón se ha equivocado, ha formado con diez monedas, un triangulo con el vertice hacia abajo. Pero ahora quiere corregirlo y ordenarlo. Como seria posible convertirlo en un triangulo con el vertice hacia arriba, moviendo tan solo tres monedas?.
#5) ¿En qué número de parqueo está el carro?
Practice Problems 1:
When asked how old she was, Beth replied “In two years I will be twice as old as I was five years ago”. How old is she?
Which weighs more? A pound of iron or a pound of copper?
If you have two coins totaling 11p, and one of the coins is not a penny, what are the two coins?
Divide 40 by half and add ten. What is the answer?
To the nearest cubic centimetre, how much soil is there in a 3m x 2m x 2m hole?
A farmer has 15 cows, all but 8 die. How many does he have left?
The ages of a mother and her graduate son add up to 66. The mother’s age is the son’s age reversed. How old are they?
If a man and a half can eat a hot dog and a half in a minute and a half, how long would it take six men to eat six hot dogs?
Nim went into a supermarket to buy some fruit. There were three packs on special offer:
Ten grapes and five strawberries: 70p (save 10p)
Ten strawberries and ten apricots: £2 (save 40p)
Thirty grapes: 100p (save 20p)
What would be the full price of one grape, one strawberry and one apricot at normal price (no special offers)?
Practice problems 2)
The amount of water flowing into a tank doubles every minute. The tank is full in an hour. When is the tank half full?
There is a pole in a lake. Half of the pole is embedded in the mud at the bottom of the pond, another one third is covered by water, and 7 feet is out of the water. What is the total length of the pole
If the hour hand of a clock moves 1/60th of a degree every minute, how many degrees will it move in an hour?
I spend a third of my money on a guitar, half the rest on a microphone and a quarter of what I then have left on a kazoo. What proportion of my original money do I have left?
How can you take 1 from 19 and leave 20?
Here is a list of months and a code for each
January: 7110
February: 826
March: 5313
April: 541
May: 3513
June: 4610
July: 4710
What is the code for the month of August?
Problem 3.
Stonehenge
Practice Problems 3)
There are 60 sweets in a jar. The first person took one sweet, and each consecutive person took more sweets than the person before, until the jar was empty.
What is the largest number of people that could have eaten sweets from the jar?
At the University of Kent 36 students attended the LAW lecture, 39 attended an ART lecture and 37 attended the DRAMA lecture. How many attended the FILM lecture?
If you have a pizza with crust thickness ‘a’ and radius ‘z’, what’s the volume of the pizza?
A man went into a store to buy an item. He asked the assistant:
"How much does it cost for one?"
The assistant replied 2 pounds, Sir"
"And how much for 10?"
The assistant replied "£4"
"How much for 100?"
He got the reply "£6"
What was the man buying?
There are 23 football teams playing in a knockout competition. What is the least number of matches they need to play to decide the winner?
referee
Practice Problems 4)
How many degrees are there between clock hands at 3.15?
You have 8 bags of sugar, 7 weight the same, one weighs less. You also have a balance scale. Find the one that weighs less in less than 3 steps.
There are three boxes, one contains only apples, one contains only oranges, and one contains both apples and oranges. The boxes have been incorrectly labeled such that no label identifies the actual contents of the box it labels. Opening just one box, and without looking in the box, you take out one piece of fruit. By looking at the fruit, how can you immediately label all of the boxes correctly?
1/2 of 2/3 of 3/4 of 4/5 of 5/6 of 6/7 of 7/8 of 8/9 of 9/10 of 1,0
00 = ?
How many times do the hands of a clock overlap in 24 hours?
lgomez@lapazschool.org
Temario
Week #8
MIT GAMES:
In this 2-player game, we start with 27 sticks. The players take turns picking up sticks. On each turn, a player must pick up 1, 2, or 3 sticks. The player who picks up the last stick loses.
Week #6
Escoger 3 juegos cada uno y explicarlos. https://en.wikipedia.org/wiki/List_of_games_in_game_theory
Week # 5
Tuesday: Write a short essay including one paragraph about the following issues in the movie.
1. Would John Nash not have been a genius without the schizophrenia?
2. What do you think about the wife´s position?
3. Research about the basis games theory principles.
4. What did you like the most, and what the least about the movie?
Week #4
http://matematicaentretenidaedp.blogspot.com/2011/04/desafios-con-palos-de-fosforos.html
https://www.youtube.com/watch?v=vKWCgGEmo-g
Week #3
Problem 3. TRUE STATEMENTS:
A. The number of false statements here is one.
B. The number of false statements here is two.
C. The number of false statements here is three.
D. The number of false statements here is four.
Which of the above statements is true?
LOGIC POEM:
The following verse spells out a word, letter by letter. "My first" refers to the word's first letter, and so on. What's the word that this verse describes? solution
My first is in fish but not in snail
My second in rabbit but not in tail
My third in up but not down
My fourth in tiara not in crown
My fifth in tree you plainly see
My whole a food for you and me
BOY or GIRL:
A boy and a girl are sitting on the porch. "I'm a boy," says the child with black hair. "I'm a girl," says the child with red hair.
If at least one of them is lying, who is which
FOOTBALL POSITIONS:
Bill, Ken, and Mark are, not necessarily in this order, a quarterback, a receiver, and a kicker. The kicker, who is the shortest of the three, is a bachelor. Bill, who is Ken's father-in-law, is taller than the receiver.
Who plays in which position?
Problem5
Four friends were competing in the internationally renowned BrainBashers Bog Snorkelling competition. As usual, the judges were a little careless and once again, they managed to lose the results. Luckily, a number of spectators were able to remember the following snippets of information:
- Only one person wore the same number as the position they finished. Gary, who didn't wear green, beat Barry. Larry beat the person who wore yellow. The person who wore number 3, wore green. The person who wore number 2 finished first whereas Harry came last. The person who finished second wore green, Barry wore yellow and the person wearing red beat the person wearing blue.
Can you work out who finished where, the number and colour they wore?Five patients, all potential blood donors, are waiting in the doctor's surgery and are sitting on the bench from left to right. Can you determine the position of each patient along with their blood group, age, height and weight? Their ages are 5, 9, 30, 46 and 60. Their heights are 40, 48, 60, 65 and 74. Their weights are 40, 75, 96, 125 and 165.
Week #2
Problem 1. Three goddesses were sitting in an old Indian temple. Their names were Truth (always telling the truth), Lie (always lying) and Wisdom (sometimes lying). A visitor asked the one on the left: "Who is sitting next to you?"
"Truth," she answered.
Then he asked the one in the middle: "Who are you?"
"Wisdom."
Lastly, he asked the one on the right: "Who is your neighbor?"
"Lie," she replied.
And then it became clear who is who.
Problem 2.
You are a prisoner in a room with 2 doors and 2 guards. One of the doors will guide you to freedom and behind the other is a hangman --you don't know which is which.
One of the guards always tells the truth and the other always lies. You don't know which one is the truth-teller or the liar either.
You have to choose and open one of these doors, but you can only ask a single question to one of the guards.
What do you ask so you can pick the door to freedom?
Problem 3.
There are 4 people called A, B, C and D. Three of them alwaystell the truth. One of them always lies.
- Person A says that person D is telling the truth.
- Person B says that person C is lying.
- Person C says 'I am telling the truth'.
- Person D says that person B is lying.
Which person is the liar?Some easier problems
more problems
Problem 4
On an island each person always tells the truth or each person always tells a lie. Three people say A, B and C have a conversation. A says that B is lying , B says that C is lying and C says that both A and B are lying.
Then find out - who is lying and who is telling the truth.
Semana #1: Trucos de pensar un número
#1) Piensa un número cualquiera. Súmale 3 . Multiplica el resultado por 2
Réstale 8. Divide por 2. Me preguntó: ¿Cuánto te da?
#2) Piensa un número. Multiplícalo por 5. Sumále 1. Multiplica el resultado por 2. Réstale 12. Divide tu resultado por 10. Réstale tu número inicial.
#3) Piensa un número. Multiplícalo por 10. A lo que quedó, súmale 7. Lo que quedó multiplícalo por 10. A lo que quedó, súmale 5. Lo que quedó multiplícalo por 2
#4) El ratón se ha equivocado, ha formado con diez monedas, un triangulo con el vertice hacia abajo. Pero ahora quiere corregirlo y ordenarlo.
Como seria posible convertirlo en un triangulo con el vertice hacia arriba, moviendo tan solo tres monedas?.
#5) ¿En qué número de parqueo está el carro?
Practice Problems 1:
What would be the full price of one grape, one strawberry and one apricot at normal price (no special offers)?
Practice problems 2)
- What is the code for the month of August?
- Problem 3.
Stonehenge
Practice Problems 3)What is the largest number of people that could have eaten sweets from the jar?
"How much does it cost for one?"
The assistant replied 2 pounds, Sir"
"And how much for 10?"
The assistant replied "£4"
"How much for 100?"
He got the reply "£6"
What was the man buying?
Practice Problems 4)
00 = ?
http://retosmatematicosenlaweb.blogspot.com.co/2015/09/acertijos-matematicos-para-secundaria.html
http://www.treeknox.com/general/puzzles/logical/
https://www.mathsisfun.com/games/
https://www.brainbashers.com/logic.asp
http://www.expandyourmind.com/logicproblems/logic_problems.shtml#LOGICPOEM
http://www.folj.com/puzzles/
http://www.pleacher.com/mp/puzzles/mlogic.html